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Finding the Third Proportional to 51,988 and 112,716

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Solution

The third proportional to 51,988 and 112,716 is: 244,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988 : 112,716 = 112,716 : x
  2. Step 2: Convert to fraction form
    51,988/112,716 = 112,716/x
  3. Step 3: Cross multiply
    51,988x = 112,716 × 112,716
  4. Step 4: Simplify right side
    51,988x = 12,704,896,656
  5. Step 5: Solve for x
    x = 12,704,896,656/51,988
  6. Step 6: Final answer
    x = 244,381.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.